GCF of 3979/717, 2674/870
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3979/717, 2674/870 i.e 1/207930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3979/717, 2674/870.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 3979/717,2674/870?
Given fractions are 3979/717,2674/870
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 3979/717,2674/870, numerators are 3979,2674
Denominators are 717,870
The GCF of 3979,2674 is 1 .
LCM of 717,870 is 207930.
The greatest common factor of 3979/717,2674/870 = [GCF of 3979,2674]/[LCM of 717,870]= 1/207930
Therefore, the GCF of 3979/717,2674/870 is 1/207930.
To find the highest common factor of 3979,2674, we have to find the factors of both numbers and list the highest common factor.
The factors of 3979 are 1, 23, 173, 3979
The factors of 2674 are 1, 2, 7, 14, 191, 382, 1337, 2674
The HCF of 3979,2674 is 1.
Lets's calculate GCF of 3979,2674
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3979,2674 By Matching Biggest Common Factor Method
Now, list down the factors of 3979
:1,23,173,3979
Now, list down the factors of 2674
:1,2,7,14,191,382,1337,2674
Greatest Common Factor
We found the factors 3979,2674 . The biggest common factor number is the GCF number.
So the greatest common factor 3979,2674 is 1.
Lets's calculate LCM of 717,870
| 3 | 717, 870 |
| 239, 290 |
∴ So the LCM of the given numbers is 3 x 239 x 290 = 207930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/207930
Therefore, the GCF of Fractions 3979/717,2674/870 is 1/207930
Least Common Multiple of 717,870 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 717,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(717,870) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(717,870) x common factors =3 x 1 = 3
LCM(717,870) = ( 717 × 870 ) / 3
LCM(717,870) = 623790 / 3
LCM(717,870) = 207930
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FAQs on GCF of Fractions of 3979/717, 2674/870
1. What is the HCF of 3979,2674?
The HCF of 3979,2674 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 3979/717, 2674/870?
Answer: GCF of Numerators as per given numbers 3979/717, 2674/870 is
GCF of Numerators i.e. for 3979,2674 is 1
LCM of denominators i.e. for 717,870 is 207930.
Thus, GCF of Fractions is 1/207930.Finally, GCF of Fractions for 3979/717, 2674/870 is 1/207930.